Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

On the word, subsumption, and complement problem for recurrent term schematizations

Identifieur interne : 00B336 ( Main/Exploration ); précédent : 00B335; suivant : 00B337

On the word, subsumption, and complement problem for recurrent term schematizations

Auteurs : Miki Hermann [France] ; Gernot Salzer [Autriche]

Source :

RBID : ISTEX:F885D4F58E39DC7DF11A92FBA818614389D64AD3

Descripteurs français

English descriptors

Abstract

Abstract: We investigate the word and the subsumption problem for recurrent term schematizations, which are a special type of constraints based on iteration. By means of unification, we reduce these problems to a fragment of Presburger arithmetic. Our approach is applicable to all recurrent term schematizations having a finitary unification algorithm. Furthermore, we study a particular form of the complement problem. Given a finite set of terms, we ask whether its complement can be finitely represented by schematizations, using only the equality predicate without negation. The answer is negative as there are ground terms too complex to be represented by schematizations with limited resources.

Url:
DOI: 10.1007/BFb0055775


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">On the word, subsumption, and complement problem for recurrent term schematizations</title>
<author>
<name sortKey="Hermann, Miki" sort="Hermann, Miki" uniqKey="Hermann M" first="Miki" last="Hermann">Miki Hermann</name>
</author>
<author>
<name sortKey="Salzer, Gernot" sort="Salzer, Gernot" uniqKey="Salzer G" first="Gernot" last="Salzer">Gernot Salzer</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:F885D4F58E39DC7DF11A92FBA818614389D64AD3</idno>
<date when="1998" year="1998">1998</date>
<idno type="doi">10.1007/BFb0055775</idno>
<idno type="url">https://api.istex.fr/ark:/67375/HCB-PNGN4MVL-8/fulltext.pdf</idno>
<idno type="wicri:Area/Istex/Corpus">003B54</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">003B54</idno>
<idno type="wicri:Area/Istex/Curation">003B10</idno>
<idno type="wicri:Area/Istex/Checkpoint">002568</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002568</idno>
<idno type="wicri:doubleKey">0302-9743:1998:Hermann M:on:the:word</idno>
<idno type="wicri:Area/Main/Merge">00BA58</idno>
<idno type="wicri:source">INIST</idno>
<idno type="RBID">Pascal:98-0425359</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000B94</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000C80</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000B38</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000B38</idno>
<idno type="wicri:doubleKey">0302-9743:1998:Hermann M:on:the:word</idno>
<idno type="wicri:Area/Main/Merge">00BB60</idno>
<idno type="wicri:Area/Main/Curation">00B336</idno>
<idno type="wicri:Area/Main/Exploration">00B336</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main" xml:lang="en">On the word, subsumption, and complement problem for recurrent term schematizations</title>
<author>
<name sortKey="Hermann, Miki" sort="Hermann, Miki" uniqKey="Hermann M" first="Miki" last="Hermann">Miki Hermann</name>
<affiliation wicri:level="3">
<country xml:lang="fr">France</country>
<wicri:regionArea>LORIA (CNRS), BP 239, 54506, Vandœuvre-lès-Nancy</wicri:regionArea>
<placeName>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
<settlement type="city">Vandœuvre-lès-Nancy</settlement>
</placeName>
</affiliation>
<affiliation wicri:level="1">
<country wicri:rule="url">France</country>
</affiliation>
</author>
<author>
<name sortKey="Salzer, Gernot" sort="Salzer, Gernot" uniqKey="Salzer G" first="Gernot" last="Salzer">Gernot Salzer</name>
<affiliation wicri:level="3">
<country xml:lang="fr">Autriche</country>
<wicri:regionArea>Technische Universität Wien, Karlsplatz 13, 1040, Wien</wicri:regionArea>
<placeName>
<settlement type="city">Vienne (Autriche)</settlement>
<region nuts="2" type="province">Vienne (Autriche)</region>
</placeName>
</affiliation>
<affiliation wicri:level="1">
<country wicri:rule="url">Autriche</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="s" type="main" xml:lang="en">Lecture Notes in Computer Science</title>
<title level="s" type="abbrev">Lect Notes Comput Sci</title>
<idno type="ISSN">0302-9743</idno>
<idno type="eISSN">1611-3349</idno>
<idno type="ISSN">0302-9743</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">0302-9743</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>Computer theory</term>
<term>Language theory</term>
<term>Rewriting systems</term>
<term>Semantic analysis</term>
<term>Syntactic analysis</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr">
<term>Analyse syntaxique</term>
<term>Analyse sémantique</term>
<term>Informatique théorique</term>
<term>Système réécriture</term>
<term>Théorie langage</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Abstract: We investigate the word and the subsumption problem for recurrent term schematizations, which are a special type of constraints based on iteration. By means of unification, we reduce these problems to a fragment of Presburger arithmetic. Our approach is applicable to all recurrent term schematizations having a finitary unification algorithm. Furthermore, we study a particular form of the complement problem. Given a finite set of terms, we ask whether its complement can be finitely represented by schematizations, using only the equality predicate without negation. The answer is negative as there are ground terms too complex to be represented by schematizations with limited resources.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Autriche</li>
<li>France</li>
</country>
<region>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Vienne (Autriche)</li>
</region>
<settlement>
<li>Vandœuvre-lès-Nancy</li>
<li>Vienne (Autriche)</li>
</settlement>
</list>
<tree>
<country name="France">
<region name="Grand Est">
<name sortKey="Hermann, Miki" sort="Hermann, Miki" uniqKey="Hermann M" first="Miki" last="Hermann">Miki Hermann</name>
</region>
<name sortKey="Hermann, Miki" sort="Hermann, Miki" uniqKey="Hermann M" first="Miki" last="Hermann">Miki Hermann</name>
</country>
<country name="Autriche">
<region name="Vienne (Autriche)">
<name sortKey="Salzer, Gernot" sort="Salzer, Gernot" uniqKey="Salzer G" first="Gernot" last="Salzer">Gernot Salzer</name>
</region>
<name sortKey="Salzer, Gernot" sort="Salzer, Gernot" uniqKey="Salzer G" first="Gernot" last="Salzer">Gernot Salzer</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 00B336 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 00B336 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:F885D4F58E39DC7DF11A92FBA818614389D64AD3
   |texte=   On the word, subsumption, and complement problem for recurrent term schematizations
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022